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Finding the Fourth Proportional to 878.17, 1,211.82 and 692.14

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Solution

The fourth proportional to 878.17, 1,211.82 and 692.14 is: 955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.17 : 1,211.82 = 692.14 : x
  2. Step 2: Convert to fraction form
    878.17/1,211.82 = 692.14/x
  3. Step 3: Cross multiply
    878.17x = 1,211.82 × 692.14
  4. Step 4: Simplify right side
    878.17x = 838,749.09
  5. Step 5: Solve for x
    x = 838,749.09/878.17
  6. Step 6: Final answer
    x = 955.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.